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Homework-2-s12 - x ࠵ ࠵ − ࠵ = 3 ࠵± ࠵ 1 = 1...

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1 AMS 361: Applied Calculus IV (DE & BVP) Homework 2 Assignment Date: Wednesday (02/01/2012) Collection Date: Wednesday (02/15/2012) Grade: Each problem is worth 10 points Problem 2-1: Find the general solutions (implicit if necessary, explicit if convenient) of the differential equations in the following problem: ࠵? 2 ! ࠵? ! = ࠵? 3 ! Problem 2-2: Find the explicit particular solution of the initial value problem ࠵? ! cos ࠵? ࠵? sin ࠵? = 0 ࠵? 0 = ࠵? Problem 2-3: Solve the following differential equation. Primes denote derivatives with respect to x. ࠵? ࠵? ! ࠵?
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Unformatted text preview: x. ࠵ ࠵ ! − ࠵ = 3 ࠵± ࠵ 1 = 1 Problem 2-4: Find the general solution of the differential equation. Primes denote derivatives with respect to x. ࠵± ! − ࠵ = ࠵ ! Problem 2-5: Find the general solution of the differential equation (regarding x as depending variable and y as independent). Primes denote derivatives with respect to x: ࠵ ! = ( ࠵ ࠵ ! + ࠵ ) ࠵ ! Problem 2-6: Find the general solution of the differential equation. Primes denote derivatives with respect to x: 5 ࠵ ! ࠵ ! = ࠵ ࠵ ! + ࠵...
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